Problems designed to show the meaningful use of logarithms in the age of calculators are presented. The emphasis is placed on viewing a logarithm as an inverse operation to raising to a power. (MP)

The way that fractions are taught to fourth-grade pupils at the Village Community School in New York City is detailed. The approach is thought to make the often frightening symbols of fractions into something that even beginning students find meaningful. Meaning rather than computational technique is emphasized. (MP)

How the use of calculators can illuminate mathematics and improve the level of problem-solving discussion in classes is presented. (MP)

Describes a successful approach to college-level modern history teaching using three case studies to examine the technical, social, and political conditions shaping government policy. A discussion of problems inherent in this teaching method is included. (AM)

Educational imagery is a teaching method that guides students into decision-making situations through directed daydreaming or fantasizing. The theory is that if a decision is clearly imagined and acted out, the process will be facilitated in real life. (JN)

Eighty-four sixth-grade students were assigned to three conditions, and studied two controversial issues with materials representing both pro and con views. Controversy, compared with concurrence seeking and individualistic study, promoted higher achievement and retention, greater search for information, more cognitive rehearsal, and positive…

Three teaching ideas are presented: (1) the use of "factor cards" to teach the concept of greatest common factor; (2) examples and tools used in student graphing in three dimensions; and (3) ways to use cuisenaire rods, cubes, and flats to discover binomial expansions. (MP)

Textbooks and teaching methods for adult basic education courses are frequently inappropriate for the cognitive ability level of the students. The assumption that these students have formal reasoning skills is often erroneous. (JD)

The article examines the nature of performance deficits in exceptional learners as they relate to the ability to perform complex cognitive tasks. (PHR)

Children's difficulties remembering correct algorithms for operations with fractions are traced to difficulties in the instructional sequence. Many teachers "teach mistakes" by failing to provide sufficient referents for their pupils. (MP)

Discusses a study which tested the effects of providing specialized instruction for research literature analysis and use during the initial stages of problem solving in college level psychology courses. Findings indicated that students who learned to review research profited significantly. (Author/DB)

Spatial concepts are important to the development of many skills, including reasoning and problem solving. Here are guidelines for making geometry learning more effective for elementary-grade students. (Editor)

An unusual alternative starting point for instruction in a beginning calculus course that focuses on Fixed Point Iteration (FPI) is presented. (MP)

Three teaching ideas are presented: a way to solve problems based on the attitude to the hypotenuse in a right triangle, some interesting applications of percentages in determining pay raises, and a flowchart guide for reducing polynomials. (MP)

Activities geared to reinforcing the skills involved in solving linear equations are given. The material is prepared on worksheets designed for duplication. Student use of calculators is suggested, and the material can aid in promoting mental computation and estimation. (MP)